Take-home Exercise 1

Author

Luo Yuming

Published

September 9, 2024

Modified

Invalid Date

Setting the Scene

As urbanization increases globally, cities are becoming more congested with vehicles, leading to a higher incidence of traffic accidents. Effective urban planning and road safety interventions rely on a deep understanding of where and when accidents are most likely to occur. The ability to identify traffic hotspots and patterns over time is critical for city authorities and policymakers to develop more targeted safety measures.

In this study, we examine the traffic accident data for the Bangkok Metropolitan Region (BMR), one of Southeast Asia’s largest urban conglomerations. The analysis focuses on spatial and temporal dimensions to identify accident hotspots across different road networks. Using Kernel Density Estimation (KDE) and Network Constrained K-function analysis, we aim to detect areas of high risk and analyze how accident patterns vary across time periods (e.g., day vs. night, weekdays vs. weekends).

This project builds on advanced geospatial analysis techniques and is designed to provide critical insights into the spatial concentration of traffic accidents. The results will help decision-makers identify the most accident-prone areas and develop interventions to reduce the risk of accidents in these hotspots.

Objectives

The main objective of this take-home exercise is to explore spatio-temporal dynamics and identify traffic accident hotspots in the Bangkok Metropolitan Region (BMR). The specific goals are:

Accident Hotspot Detection: Use Kernel Density Estimation (KDE) to visualize and detect areas of high accident density across the BMR road network. This will be done both at a regional level and for selected high-risk provinces (e.g., Bangkok and Samut Prakan).

Spatio-Temporal Analysis: Perform temporal analysis by splitting the data into different time periods (e.g., day vs. night, weekdays vs. weekends) to understand how accident patterns evolve over time.

Network Constrained Analysis: Apply Network Constrained Kernel Density Estimation (NKDE) and K-function analysis to detect clustering patterns of accidents on road networks. This analysis will help understand how accidents are distributed along specific road networks and identify clusters of incidents.

Visualization and Reporting: Use geospatial visualization tools to effectively communicate findings. This includes generating interactive heatmaps and visual comparisons of accident density for different time periods and road networks.

The Data

Road Accident Data (2019-2022): This dataset includes information on over 12,986 road accidents that occurred in the BMR region. Each entry contains detailed information such as the time and location of the incident, the type of road, and other contextual factors. The key attributes in this dataset include:

incident_datetime: The date and time when the accident occurred. province: The province where the accident took place. road_type: Information about the road category where the accident occurred (e.g., highways, secondary roads). Bangkok Metropolitan Region Roads (from OpenStreetMap): The road network data includes detailed geographical information on the roads in the BMR. The dataset provides the structure of roads as LINESTRING geometries and includes information on road types, length, and geometry details.

Thailand Subnational Administrative Boundaries: This dataset includes the administrative boundaries of the provinces in the BMR. It allows for an understanding of accident distributions across different administrative regions (e.g., Bangkok, Samut Prakan, Pathum Thani, etc.).

The combination of these datasets enables us to perform detailed geospatial analysis, including network-based density estimations and spatial clustering detection. The accident data is pre-processed to clean any inconsistencies and transformed to appropriate coordinate reference systems (CRS) to align with road network data.

Getting Started

To begin, several R packages are loaded for different purposes such as spatial data processing, network analysis, and visualization:

pacman::p_load(sf, sfdep, tmap, tidyverse, spNetwork, spacetime, spatstat, ggplot2)

sf (Simple Features): Provides tools for manipulating and analyzing spatial data, specifically through sf objects which store geometries like points, lines, and polygons.

sfdep: Used for spatial dependence analysis, including functions for working with neighbors and performing spatial lag models. tmap: A package designed for creating both static and interactive maps. It offers tools for geospatial data visualization, which is critical for this analysis to present accident hotspots and spatial patterns effectively. tidyverse: A collection of R packages that simplifies data manipulation, visualization, and exploration through functions like dplyr, ggplot2, and tibble.

spNetwork: A specialized package for network-based spatial analysis. It supports functions like network-constrained Kernel Density Estimation (NKDE) and network-constrained K-function analysis.

spacetime: Provides classes and methods for spatio-temporal data, allowing analysis over both space and time. stpp: Designed for space-time point process modeling and simulation. Useful for detecting spatio-temporal clusters and patterns in the accident data.

spatstat: A package for spatial point pattern analysis, providing tools for calculating K-functions and conducting spatial statistics over road networks.

##Importing Data ### 1. Load and Clean Accident Data

car_acc <- read_csv("data/rawdata/thai_road_accident_2019_2022.csv") %>%

   # Remove rows with missing longitude or latitude
  filter(!is.na(longitude) & !is.na(latitude)) %>%

  # Create new columns for month and day of the week
  mutate(Month_num= month(incident_datetime)) %>%
  mutate(Month_fac= month(incident_datetime,label=TRUE,abbr=TRUE))%>%
  mutate(dayofweek=day(incident_datetime))%>%
  # Convert the data frame to a spatial sf object
  st_as_sf(coords = c("longitude", "latitude"), crs = 4326) %>%

  # Transform to a different CRS (Coordinate Reference System)
  st_transform(crs = 32647)

read_csv(): Reads the CSV file containing the road accident data. filter(!is.na(longitude) & !is.na(latitude)): Removes any rows where either longitude or latitude is missing, ensuring valid spatial data. mutate(Month_num = month(incident_datetime)): Creates a new column Month_num that extracts the month from the incident_datetime column. mutate(Month_fac = month(incident_datetime, label = TRUE, abbr = TRUE)): Creates a new column Month_fac that formats the month as a labeled and abbreviated factor. mutate(dayofweek = day(incident_datetime)): Creates a new column dayofweek that extracts the day of the month from incident_datetime. st_as_sf(coords = c(“longitude”, “latitude”), crs = 4326): Converts the data into a spatial object with coordinates based on longitude and latitude. CRS 4326 is the WGS84 geographic coordinate system. st_transform(crs = 32647): Transforms the spatial object to UTM zone 47N (EPSG: 32647), which is often used for geographic data in Thailand.

2. Filter Accident Data for BMR (Bangkok Metropolitan Region)

 bmr_acc <- car_acc %>%
   filter(province_en %in% c("Bangkok", "Nonthaburi", "Nakhon Pathom", "Pathum Thani", "Samut Prakan", "Samut Sakhon"))

filter(province_en %in% c(…)): Filters the accident data to include only accidents occurring in the Bangkok Metropolitan Region, i.e., the six listed provinces.

3. Save the Filtered Data for BMR

##| eval: false
write_rds(bmr_acc,"data/rds/bmr_acc.rds")

4. Load Administrative Boundaries

##| eval: false
boundaries <- st_read(dsn = "data/rawdata",
                        layer = "tha_admbnda_adm1_rtsd_20220121")
Reading layer `tha_admbnda_adm1_rtsd_20220121' from data source 
  `/Users/lucasluo/Desktop/SMU/Courses/Term3 Aug-Dec/ISSS626-Geospatial Analytics and Applications/lucasluo6/ISSS626/Take-home_Ex/Take-home_Ex01/data/rawdata' 
  using driver `ESRI Shapefile'
Simple feature collection with 77 features and 16 fields
Geometry type: MULTIPOLYGON
Dimension:     XY
Bounding box:  xmin: 97.34336 ymin: 5.613038 xmax: 105.637 ymax: 20.46507
Geodetic CRS:  WGS 84

5. Filter Boundaries for BMR

bmr_boundary <- boundaries %>%
  filter(ADM1_EN %in% c("Bangkok", "Nonthaburi", "Nakhon Pathom", "Pathum Thani", "Samut Prakan", "Samut Sakhon"))

6. Save Filtered BMR Boundaries

write_rds(bmr_boundary, "data/rds/bmr.rds")

7. Load Road Network Data

roads <- st_read(dsn = "data/rawdata",
                        layer = "hotosm_tha_roads_lines_shp")
Reading layer `hotosm_tha_roads_lines_shp' from data source 
  `/Users/lucasluo/Desktop/SMU/Courses/Term3 Aug-Dec/ISSS626-Geospatial Analytics and Applications/lucasluo6/ISSS626/Take-home_Ex/Take-home_Ex01/data/rawdata' 
  using driver `ESRI Shapefile'
Simple feature collection with 2792590 features and 14 fields
Geometry type: MULTILINESTRING
Dimension:     XY
Bounding box:  xmin: 97.34457 ymin: 5.643645 xmax: 105.6528 ymax: 20.47168
CRS:           NA

8. Assign CRS to Road Network

##| eval: false
st_crs(roads) <- 4326

9. Clip Roads to BMR Boundaries

##| eval: false
bmr_roads <- st_intersection(roads, bmr_boundary)

10. Save the Filtered BMR Roads Data

##| eval: false
saveRDS(bmr_roads,"data/rds/bmr_roads.rds")

11. Load the Date from RDS

bmr <- read_rds("data/rds/bmr.rds")
bmr
Simple feature collection with 6 features and 16 fields
Geometry type: MULTIPOLYGON
Dimension:     XY
Bounding box:  xmin: 99.8141 ymin: 13.4252 xmax: 100.9639 ymax: 14.27595
Geodetic CRS:  WGS 84
  Shape_Leng Shape_Area       ADM1_EN      ADM1_TH ADM1_PCODE ADM1_REF
1   2.417227 0.13133873       Bangkok กรุงเทพมหานคร       TH10     <NA>
2   1.695100 0.07926199  Samut Prakan   สมุทรปราการ       TH11     <NA>
3   1.251111 0.05323766    Nonthaburi        นนทบุรี       TH12     <NA>
4   1.884945 0.12698345  Pathum Thani       ปทุมธานี       TH13     <NA>
5   2.463030 0.17891420 Nakhon Pathom       นครปฐม       TH73     <NA>
6   1.566369 0.07155983  Samut Sakhon     สมุทรสาคร       TH74     <NA>
  ADM1ALT1EN ADM1ALT2EN ADM1ALT1TH ADM1ALT2TH  ADM0_EN   ADM0_TH ADM0_PCODE
1       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
2       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
3       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
4       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
5       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
6       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
        date    validOn validTo                       geometry
1 2019-02-18 2022-01-22    <NA> MULTIPOLYGON (((100.6139 13...
2 2019-02-18 2022-01-22    <NA> MULTIPOLYGON (((100.7306 13...
3 2019-02-18 2022-01-22    <NA> MULTIPOLYGON (((100.3415 14...
4 2019-02-18 2022-01-22    <NA> MULTIPOLYGON (((100.8916 14...
5 2019-02-18 2022-01-22    <NA> MULTIPOLYGON (((100.2231 14...
6 2019-02-18 2022-01-22    <NA> MULTIPOLYGON (((100.3091 13...
bmr_roads <- read_rds("data/rds/bmr_roads.rds")
bmr_roads
Simple feature collection with 585597 features and 30 fields
Geometry type: GEOMETRY
Dimension:     XY
Bounding box:  xmin: 99.81436 ymin: 13.42543 xmax: 100.9637 ymax: 14.27563
Geodetic CRS:  WGS 84
First 10 features:
             name               name_en        highway  surface smoothness
1      ถนนฉลองกรุง    Chalong Krung Road      secondary    paved       <NA>
2  ซอยฉลองกรุง 1/1 Soi Chalong Krung 1/1    residential     <NA>       <NA>
3            <NA>                  <NA> secondary_link     <NA>       <NA>
4            <NA>                  <NA>        service     <NA>       <NA>
5      ถนนฉลองกรุง    Chalong Krung Road      secondary concrete       <NA>
6            <NA>                  <NA>        service     <NA>       <NA>
26           <NA>                  <NA>        footway     <NA>       <NA>
27           <NA>                  <NA>        service     <NA>       <NA>
49           <NA>                  <NA>        service concrete  excellent
50           <NA>                  <NA>        service     <NA>       <NA>
   width lanes oneway bridge layer source        name_th     osm_id  osm_type
1   <NA>  <NA>    yes   <NA>  <NA>   <NA>     ถนนฉลองกรุง 1125681229 ways_line
2   <NA>  <NA>   <NA>   <NA>  <NA>   <NA> ซอยฉลองกรุง 1/1  594401607 ways_line
3   <NA>  <NA>    yes   <NA>  <NA>   <NA>           <NA>  472283206 ways_line
4   <NA>  <NA>   <NA>   <NA>  <NA>   <NA>           <NA>  594401608 ways_line
5   <NA>     2    yes    yes     1   Bing     ถนนฉลองกรุง  116847248 ways_line
6   <NA>  <NA>   <NA>   <NA>  <NA>   <NA>           <NA>  317485095 ways_line
26  <NA>  <NA>   <NA>   <NA>  <NA>   <NA>           <NA>  879520330 ways_line
27  <NA>  <NA>   <NA>   <NA>  <NA>   <NA>           <NA>  879520327 ways_line
49  <NA>  <NA>    yes   <NA>  <NA>   <NA>           <NA>  453683945 ways_line
50  <NA>  <NA>   <NA>   <NA>  <NA>   <NA>           <NA>  630845598 ways_line
   Shape_Leng Shape_Area ADM1_EN      ADM1_TH ADM1_PCODE ADM1_REF ADM1ALT1EN
1    2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>       <NA>
2    2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>       <NA>
3    2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>       <NA>
4    2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>       <NA>
5    2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>       <NA>
6    2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>       <NA>
26   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>       <NA>
27   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>       <NA>
49   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>       <NA>
50   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>       <NA>
   ADM1ALT2EN ADM1ALT1TH ADM1ALT2TH  ADM0_EN   ADM0_TH ADM0_PCODE       date
1        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH 2019-02-18
2        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH 2019-02-18
3        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH 2019-02-18
4        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH 2019-02-18
5        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH 2019-02-18
6        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH 2019-02-18
26       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH 2019-02-18
27       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH 2019-02-18
49       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH 2019-02-18
50       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH 2019-02-18
      validOn validTo                       geometry
1  2022-01-22    <NA> LINESTRING (100.7913 13.740...
2  2022-01-22    <NA> LINESTRING (100.7882 13.736...
3  2022-01-22    <NA> LINESTRING (100.7844 13.732...
4  2022-01-22    <NA> LINESTRING (100.7873 13.735...
5  2022-01-22    <NA> LINESTRING (100.7831 13.730...
6  2022-01-22    <NA> LINESTRING (100.7931 13.746...
26 2022-01-22    <NA> LINESTRING (100.7716 13.741...
27 2022-01-22    <NA> LINESTRING (100.7737 13.744...
49 2022-01-22    <NA> LINESTRING (100.5607 13.749...
50 2022-01-22    <NA> LINESTRING (100.5261 13.721...
bmr_acc <- read_rds("data/rds/bmr_acc.rds")
bmr_acc
Simple feature collection with 12986 features and 19 fields
Geometry type: POINT
Dimension:     XY
Bounding box:  xmin: 591277.5 ymin: 1486846 xmax: 710166.1 ymax: 1576520
Projected CRS: WGS 84 / UTM zone 47N
# A tibble: 12,986 × 20
   acc_code incident_datetime   report_datetime     province_th  province_en  
 *    <dbl> <dttm>              <dttm>              <chr>        <chr>        
 1   571882 2019-01-01 02:25:00 2019-01-02 17:32:00 นครปฐม       Nakhon Pathom
 2   600001 2019-01-01 03:00:00 2019-01-05 10:33:00 นนทบุรี        Nonthaburi   
 3   605043 2019-01-01 03:00:00 2019-03-29 08:22:00 สมุทรปราการ   Samut Prakan 
 4   629691 2019-01-01 03:05:00 2019-01-01 03:05:00 กรุงเทพมหานคร Bangkok      
 5   571887 2019-01-01 04:30:00 2019-01-02 17:32:00 นครปฐม       Nakhon Pathom
 6   599234 2019-01-01 04:45:00 2019-01-02 08:28:00 สมุทรปราการ   Samut Prakan 
 7   599990 2019-01-01 05:30:00 2019-01-05 10:35:00 สมุทรสาคร     Samut Sakhon 
 8   612045 2019-01-01 05:30:00 2019-10-09 13:50:00 นนทบุรี        Nonthaburi   
 9   629689 2019-01-01 05:42:00 2019-01-01 05:42:00 กรุงเทพมหานคร Bangkok      
10   607046 2019-01-01 06:30:00 2019-05-15 13:24:00 ปทุมธานี       Pathum Thani 
# ℹ 12,976 more rows
# ℹ 15 more variables: agency <chr>, route <chr>, vehicle_type <chr>,
#   presumed_cause <chr>, accident_type <chr>,
#   number_of_vehicles_involved <dbl>, number_of_fatalities <dbl>,
#   number_of_injuries <dbl>, weather_condition <chr>, road_description <chr>,
#   slope_description <chr>, Month_num <dbl>, Month_fac <ord>, dayofweek <int>,
#   geometry <POINT [m]>

EDA (Exploratory Data Analysis)

The EDA focuses on visualizing the basic geographic features and accident points within the Bangkok Metropolitan Region (BMR). Here’s a breakdown of each component of the code and the result:

EDA 1: Visualization of Traffic Accidents in the BMR

tm_shape(bmr) + 
  tm_polygons() +  # 绘制BMR的区域边界
  tm_shape(bmr_roads) + 
  tm_lines() +  # 绘制BMR区域内的道路
  tm_shape(bmr_acc) + 
  tm_dots(col = "red", size = 0.1) +  # 绘制BMR区域内的交通事故点
  tm_layout(title = "Road Traffic Accidents in BMR")

# 切换到交互模式
tmap_mode("plot")

Explanation of the Code: tm_shape(bmr) + tm_polygons():

This part of the code visualizes the boundary of the BMR region by using the polygon data from bmr. The boundary defines the geographic limits of the region under analysis. tm_shape(bmr_roads) + tm_lines():

This adds the road network to the visualization. The roads are crucial for understanding the spatial relationship between the accident locations and the infrastructure in the region. tm_shape(bmr_acc) + tm_dots(col = “red”, size = 0.1):

This plots the accident locations on the map as red dots. The small dot size ensures that even when multiple accidents occur close to each other, the map remains readable. tm_layout(title = “Road Traffic Accidents in BMR”):

This switches the map into interactive mode, allowing users to zoom, pan, and explore the geographic data more dynamically. Result Analysis: Accident Distribution: The red dots represent individual traffic accidents in the BMR. The visualization clearly shows that the accidents are concentrated along the major roads and highways, suggesting that higher traffic volumes and more complex intersections may be contributing to the occurrence of accidents. High-risk Areas: Some road segments appear to have a dense cluster of accidents, which could indicate accident-prone areas. These could be major intersections, busy highways, or areas with challenging road conditions.

EDA 2: Monthly Distribution of Traffic Accidents in BMR

# 按月分组,计算每个月的事故数量
monthly_accidents <- bmr_acc %>%
  group_by(Month_fac) %>%
  summarise(count = n())

# 使用 tmap 显示按月的事故分布 (静态模式)
tmap_mode("plot")  # 切换到静态模式

# 绘制按月的事故分布
tm_shape(bmr) +
  tm_borders() +  # 显示 BMR 边界
  tm_shape(bmr_acc) +
  tm_dots(col = "Month_fac", palette = "Reds", size = 0.05) +  # 显示事故点,按月分类
  tm_facets(by = "Month_fac", free.coords = FALSE) +  # 每个月显示一张静态地图
  tm_layout(title = "Accidents by Month in BMR")

This visualization illustrates the monthly distribution of traffic accidents in the Bangkok Metropolitan Region (BMR). Accidents are grouped and color-coded by month, showing how accident occurrences vary across the calendar year. This helps in identifying temporal patterns and trends related to seasonal factors, road usage, or external influences (e.g., weather, holidays) that may contribute to the increase or decrease in accidents during specific months. The map uses a facet approach, allowing for a detailed month-by-month comparison, making it easier to visually assess changes in accident distribution across different time periods.

EDA 3: Heatmap of Traffic Accident Density in BMR Provinces

# 1. 处理省份名称的不一致问题,确保 bmr 和 bmr_acc 的省份名称一致
bmr$ADM1_EN <- trimws(tolower(bmr$ADM1_EN))
bmr_acc$province_en <- trimws(tolower(bmr_acc$province_en))

# 2. 检查省份名称的差异,手动修正任何差异
setdiff(bmr$ADM1_EN, bmr_acc$province_en)
character(0)
setdiff(bmr_acc$province_en, bmr$ADM1_EN)
character(0)
# 如果发现不匹配的省份名称,手动修正,例如:
# bmr_acc <- bmr_acc %>%
#   mutate(province_en = ifelse(province_en == "some_mismatch", "correct_name", province_en))

# 3. 计算每个省份的事故数量
accidents_by_province <- bmr_acc %>%
  group_by(province_en) %>%
  summarise(accident_count = n())

# 4. 将数据合并到BMR区域的几何数据
bmr_df <- st_drop_geometry(bmr)

# 确保省份名称格式一致
accidents_by_province <- accidents_by_province %>% 
  mutate(province_en = tolower(province_en)) 
bmr_df <- bmr_df %>% 
  mutate(ADM1_EN = tolower(ADM1_EN))

# 使用 left_join() 进行合并
bmr_with_accidents <- left_join(bmr_df, accidents_by_province, by = c("ADM1_EN" = "province_en"))
# Reorder columns to ensure ADM1_EN is the first
bmr_with_accidents <- bmr_with_accidents %>%
  select(ADM1_EN, everything())

# 创建热力图,刻度均匀分布,鼠标悬停时显示事故数量
# 4. 合并数据时确保省份名称字段正确
bmr_with_accidents_sf <- st_as_sf(bmr_with_accidents, geometry = bmr$geometry)

# 创建交互式热力图,设置 popup.vars
tm_shape(bmr_with_accidents_sf) +
  tm_polygons("accident_count", 
              style = "pretty", 
              palette = "Reds", 
              title = "Accidents per Province", 
              popup.vars = c("Province" = "ADM1_EN", "Accidents" = "accident_count"), 
              popup.format = list(digits = 0)) + 
  tm_layout(title = "Accident Count Heatmap in BMR", legend.format = list(text.separator = "-"))

tmap_mode("view")

Explanation: Data Preparation:

Accident Data Processing: We started by reading in the accident dataset and filtering out rows where the coordinates (latitude, longitude) were missing. We then extracted the relevant date components (month and day of the week) from the accident timestamps for future analysis. The dataset was then converted into a spatial object using the appropriate geographic coordinate system (CRS 4326). Boundary and Road Data: Similarly, we read in the boundary and road data for the entire country of Thailand. We filtered out only the relevant provinces that belong to the Bangkok Metropolitan Region (BMR), which includes Bangkok, Nonthaburi, Nakhon Pathom, Pathum Thani, Samut Prakan, and Samut Sakhon. The roads were intersected with the BMR boundary to limit them to the region we are interested in. Province-Level Accident Count:

Standardization of Names: Before merging the datasets, we ensured consistency in the naming of provinces across the two datasets (bmr and bmr_acc). We converted all province names to lowercase and removed any extra spaces. Accident Count: We then grouped the accident data by province and counted the total number of accidents for each province. Merging Data:

We merged the accident counts with the BMR boundary data to assign the accident data to the spatial geometry of each province. This allows us to visually analyze accident density within each province. Visualization:

We used the tmap library to create an interactive heatmap. The accident density for each province is color-coded in shades of red, where darker shades indicate higher accident counts. Hovering over a province will display the exact count of accidents for that region. Result Analysis: The heatmap generated from the data analysis allows us to visually assess which provinces in the BMR have higher accident densities. The interactive aspect lets users hover over each province to see the accident count, making it easy to compare different regions. Key observations from this visualization could include:

Bangkok likely has the highest density of accidents due to its high population density and traffic volume. Samut Prakan and Nonthaburi may also show significant accident counts due to their proximity to Bangkok and the presence of major highways. Further analysis can be done by looking into different time periods (day vs. night, weekdays vs. weekends) or by exploring specific road networks using KDE methods to identify high-risk areas. The insights gained from this analysis can help in urban planning, improving road safety measures, and optimizing traffic management to reduce accidents in high-density areas.

##Network KDE (NKDE) Analysis

1.data :

# 假设 bmr_roads 和 bmr 已经被读取并转换为 sf 对象
bmr_roads <- bmr_roads %>%
  filter(highway %in% c("motorway", "trunk", "primary", "secondary"))
# 假设 adm_data 是包含 Samut Prakan 和 Bangkok 的边界数据
bmr_city <- st_read(dsn = "data/rawdata",
                        layer = "tha_admbnda_adm2_rtsd_20220121")
Reading layer `tha_admbnda_adm2_rtsd_20220121' from data source 
  `/Users/lucasluo/Desktop/SMU/Courses/Term3 Aug-Dec/ISSS626-Geospatial Analytics and Applications/lucasluo6/ISSS626/Take-home_Ex/Take-home_Ex01/data/rawdata' 
  using driver `ESRI Shapefile'
Simple feature collection with 928 features and 19 fields
Geometry type: MULTIPOLYGON
Dimension:     XY
Bounding box:  xmin: 97.34336 ymin: 5.613038 xmax: 105.637 ymax: 20.46507
Geodetic CRS:  WGS 84
# Step 1: 筛选出 ADM1_EN 为 Samut Prakan 和 Bangkok 的道路数据
SamutPrakan_roads <- bmr_roads %>%
  filter(ADM1_EN == "Samut Prakan")

bangkok_roads <- bmr_roads %>%
  filter(ADM1_EN == "Bangkok")

# Step 2: 使用 st_intersection 进行空间相交
# 确保 Samut Prakan 和 Bangkok 的边界数据存在于 bmr 中,且为 sf 对象
SamutPrakan_boundary <-bmr_city %>%
  filter(ADM1_EN == "Samut Prakan")

bangkok_boundary <- bmr_city %>%
  filter(ADM1_EN == "Bangkok")

# 对 Pathum Thani 进行空间相交
SamutPrakan_roads_intersection <- st_intersection(SamutPrakan_roads,SamutPrakan_boundary)

# 对 Bangkok 进行空间相交
bangkok_roads_intersection <- st_intersection(bangkok_roads, bangkok_boundary)

# 查看结果
print(SamutPrakan_roads_intersection)
Simple feature collection with 1612 features and 49 fields
Geometry type: GEOMETRY
Dimension:     XY
Bounding box:  xmin: 100.4465 ymin: 13.4883 xmax: 100.9543 ymax: 13.71692
Geodetic CRS:  WGS 84
First 10 features:
              name            name_en   highway  surface smoothness width lanes
90392   ถนนเทพารักษ์     Thepharak Road secondary     <NA>       <NA>  <NA>  <NA>
90393   ถนนเทพารักษ์     Thepharak Road secondary     <NA>       <NA>  <NA>  <NA>
90394   ถนนเทพารักษ์     Thepharak Road secondary     <NA>       <NA>  <NA>  <NA>
90863   ถนนเทพารักษ์     Thepharak Road secondary     <NA>       <NA>  <NA>     3
90864   ถนนเทพารักษ์     Thepharak Road secondary     <NA>       <NA>  <NA>     5
90865   ถนนเทพารักษ์     Thepharak Road secondary     <NA>       <NA>  <NA>  <NA>
90945   ถนนเทพารักษ์     Thepharak Road secondary     <NA>       <NA>  <NA>     5
130350  ถนนเทพารักษ์     Thepharak Road secondary     <NA>       <NA>  <NA>     3
130386   ถนนแพรกษา     Phraek Sa Road secondary concrete       <NA>  <NA>     3
131577 ถนนศรีนครินทร์ Srinagarindra Road   primary     <NA>       <NA>  <NA>     5
       oneway bridge layer source     name_th     osm_id  osm_type Shape_Leng
90392     yes    yes     1   <NA>  ถนนเทพารักษ์  746408862 ways_line     1.6951
90393     yes    yes     1   <NA>  ถนนเทพารักษ์  746408863 ways_line     1.6951
90394     yes    yes     1   <NA>  ถนนเทพารักษ์  746408890 ways_line     1.6951
90863     yes   <NA>  <NA>   <NA>  ถนนเทพารักษ์ 1041621544 ways_line     1.6951
90864     yes   <NA>  <NA>   <NA>  ถนนเทพารักษ์ 1041623692 ways_line     1.6951
90865     yes   <NA>  <NA>   <NA>  ถนนเทพารักษ์ 1041623693 ways_line     1.6951
90945     yes   <NA>  <NA>   <NA>  ถนนเทพารักษ์ 1041623694 ways_line     1.6951
130350    yes   <NA>  <NA>   <NA>  ถนนเทพารักษ์ 1041621536 ways_line     1.6951
130386    yes   <NA>  <NA>   <NA>   ถนนแพรกษา  950318416 ways_line     1.6951
131577    yes   <NA>  <NA>   <NA> ถนนศรีนครินทร์ 1041607912 ways_line     1.6951
       Shape_Area      ADM1_EN    ADM1_TH ADM1_PCODE ADM1_REF ADM1ALT1EN
90392  0.07926199 Samut Prakan สมุทรปราการ       TH11     <NA>       <NA>
90393  0.07926199 Samut Prakan สมุทรปราการ       TH11     <NA>       <NA>
90394  0.07926199 Samut Prakan สมุทรปราการ       TH11     <NA>       <NA>
90863  0.07926199 Samut Prakan สมุทรปราการ       TH11     <NA>       <NA>
90864  0.07926199 Samut Prakan สมุทรปราการ       TH11     <NA>       <NA>
90865  0.07926199 Samut Prakan สมุทรปราการ       TH11     <NA>       <NA>
90945  0.07926199 Samut Prakan สมุทรปราการ       TH11     <NA>       <NA>
130350 0.07926199 Samut Prakan สมุทรปราการ       TH11     <NA>       <NA>
130386 0.07926199 Samut Prakan สมุทรปราการ       TH11     <NA>       <NA>
131577 0.07926199 Samut Prakan สมุทรปราการ       TH11     <NA>       <NA>
       ADM1ALT2EN ADM1ALT1TH ADM1ALT2TH  ADM0_EN   ADM0_TH ADM0_PCODE
90392        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
90393        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
90394        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
90863        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
90864        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
90865        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
90945        <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
130350       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
130386       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
131577       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
             date    validOn validTo Shape_Leng.1 Shape_Area.1
90392  2019-02-18 2022-01-22    <NA>     0.822417   0.01436481
90393  2019-02-18 2022-01-22    <NA>     0.822417   0.01436481
90394  2019-02-18 2022-01-22    <NA>     0.822417   0.01436481
90863  2019-02-18 2022-01-22    <NA>     0.822417   0.01436481
90864  2019-02-18 2022-01-22    <NA>     0.822417   0.01436481
90865  2019-02-18 2022-01-22    <NA>     0.822417   0.01436481
90945  2019-02-18 2022-01-22    <NA>     0.822417   0.01436481
130350 2019-02-18 2022-01-22    <NA>     0.822417   0.01436481
130386 2019-02-18 2022-01-22    <NA>     0.822417   0.01436481
131577 2019-02-18 2022-01-22    <NA>     0.822417   0.01436481
                   ADM2_EN        ADM2_TH ADM2_PCODE ADM2_REF ADM2ALT1EN
90392  Mueang Samut Prakan เมืองสมุทรปราการ     TH1101     <NA>       <NA>
90393  Mueang Samut Prakan เมืองสมุทรปราการ     TH1101     <NA>       <NA>
90394  Mueang Samut Prakan เมืองสมุทรปราการ     TH1101     <NA>       <NA>
90863  Mueang Samut Prakan เมืองสมุทรปราการ     TH1101     <NA>       <NA>
90864  Mueang Samut Prakan เมืองสมุทรปราการ     TH1101     <NA>       <NA>
90865  Mueang Samut Prakan เมืองสมุทรปราการ     TH1101     <NA>       <NA>
90945  Mueang Samut Prakan เมืองสมุทรปราการ     TH1101     <NA>       <NA>
130350 Mueang Samut Prakan เมืองสมุทรปราการ     TH1101     <NA>       <NA>
130386 Mueang Samut Prakan เมืองสมุทรปราการ     TH1101     <NA>       <NA>
131577 Mueang Samut Prakan เมืองสมุทรปราการ     TH1101     <NA>       <NA>
       ADM2ALT2EN ADM2ALT1TH ADM2ALT2TH    ADM1_EN.1  ADM1_TH.1 ADM1_PCODE.1
90392        <NA>       <NA>       <NA> Samut Prakan สมุทรปราการ         TH11
90393        <NA>       <NA>       <NA> Samut Prakan สมุทรปราการ         TH11
90394        <NA>       <NA>       <NA> Samut Prakan สมุทรปราการ         TH11
90863        <NA>       <NA>       <NA> Samut Prakan สมุทรปราการ         TH11
90864        <NA>       <NA>       <NA> Samut Prakan สมุทรปราการ         TH11
90865        <NA>       <NA>       <NA> Samut Prakan สมุทรปราการ         TH11
90945        <NA>       <NA>       <NA> Samut Prakan สมุทรปราการ         TH11
130350       <NA>       <NA>       <NA> Samut Prakan สมุทรปราการ         TH11
130386       <NA>       <NA>       <NA> Samut Prakan สมุทรปราการ         TH11
131577       <NA>       <NA>       <NA> Samut Prakan สมุทรปราการ         TH11
       ADM0_EN.1 ADM0_TH.1 ADM0_PCODE.1     date.1  validOn.1 validTo.1
90392   Thailand ประเทศไทย           TH 2019-02-18 2022-01-22      <NA>
90393   Thailand ประเทศไทย           TH 2019-02-18 2022-01-22      <NA>
90394   Thailand ประเทศไทย           TH 2019-02-18 2022-01-22      <NA>
90863   Thailand ประเทศไทย           TH 2019-02-18 2022-01-22      <NA>
90864   Thailand ประเทศไทย           TH 2019-02-18 2022-01-22      <NA>
90865   Thailand ประเทศไทย           TH 2019-02-18 2022-01-22      <NA>
90945   Thailand ประเทศไทย           TH 2019-02-18 2022-01-22      <NA>
130350  Thailand ประเทศไทย           TH 2019-02-18 2022-01-22      <NA>
130386  Thailand ประเทศไทย           TH 2019-02-18 2022-01-22      <NA>
131577  Thailand ประเทศไทย           TH 2019-02-18 2022-01-22      <NA>
                             geometry
90392  LINESTRING (100.6518 13.617...
90393  LINESTRING (100.6517 13.617...
90394  LINESTRING (100.6695 13.611...
90863  LINESTRING (100.6269 13.627...
90864  LINESTRING (100.6273 13.627...
90865  LINESTRING (100.6275 13.627...
90945  LINESTRING (100.6287 13.626...
130350 LINESTRING (100.627 13.6275...
130386 LINESTRING (100.6315 13.575...
131577 LINESTRING (100.6206 13.614...
print(bangkok_roads_intersection)
Simple feature collection with 8624 features and 49 fields
Geometry type: GEOMETRY
Dimension:     XY
Bounding box:  xmin: 100.3309 ymin: 13.51917 xmax: 100.9345 ymax: 13.95438
Geodetic CRS:  WGS 84
First 10 features:
                 name                  name_en   highway surface smoothness
10909      ถนนจักรเพชร         Chakkraphet Road secondary    <NA>       <NA>
62066 ถนนราชดำเนินกลาง Ratchadamnoen Klang Road   primary asphalt       <NA>
62124 ถนนราชดำเนินกลาง Ratchadamnoen Klang Road   primary    <NA>       <NA>
62126 ถนนราชดำเนินกลาง Ratchadamnoen Klang Road   primary asphalt       <NA>
62133 ถนนราชดำเนินกลาง Ratchadamnoen Klang Road   primary asphalt       <NA>
62134 ถนนราชดำเนินกลาง Ratchadamnoen Klang Road secondary asphalt       <NA>
62142 ถนนราชดำเนินกลาง Ratchadamnoen Klang Road   primary asphalt       <NA>
62143 ถนนราชดำเนินกลาง Ratchadamnoen Klang Road   primary asphalt       <NA>
62149 ถนนราชดำเนินกลาง Ratchadamnoen Klang Road secondary asphalt       <NA>
62150  ถนนราชดำเนินนอก   Ratchadamnoen Nok Road secondary asphalt       <NA>
      width lanes oneway bridge layer source         name_th    osm_id
10909  <NA>  <NA>    yes   <NA>  <NA>   <NA>      ถนนจักรเพชร 157690710
62066  <NA>     6    yes   <NA>  <NA>   <NA> ถนนราชดำเนินกลาง  24681047
62124  <NA>     6    yes   <NA>  <NA>   <NA> ถนนราชดำเนินกลาง 134010893
62126  <NA>  <NA>    yes   <NA>  <NA>   <NA> ถนนราชดำเนินกลาง 156420649
62133  <NA>     6    yes   <NA>  <NA>   <NA> ถนนราชดำเนินกลาง 162639456
62134  <NA>     3    yes   <NA>  <NA>   <NA> ถนนราชดำเนินกลาง 162669720
62142  <NA>  <NA>    yes    yes     1   <NA> ถนนราชดำเนินกลาง 169343042
62143  <NA>  <NA>    yes    yes     1   <NA> ถนนราชดำเนินกลาง 169343049
62149  <NA>  <NA>    yes   <NA>  <NA>   <NA> ถนนราชดำเนินกลาง 175803676
62150  <NA>     3    yes    yes     1   <NA>  ถนนราชดำเนินนอก 176753955
       osm_type Shape_Leng Shape_Area ADM1_EN      ADM1_TH ADM1_PCODE ADM1_REF
10909 ways_line   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>
62066 ways_line   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>
62124 ways_line   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>
62126 ways_line   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>
62133 ways_line   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>
62134 ways_line   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>
62142 ways_line   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>
62143 ways_line   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>
62149 ways_line   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>
62150 ways_line   2.417227  0.1313387 Bangkok กรุงเทพมหานคร       TH10     <NA>
      ADM1ALT1EN ADM1ALT2EN ADM1ALT1TH ADM1ALT2TH  ADM0_EN   ADM0_TH ADM0_PCODE
10909       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
62066       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
62124       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
62126       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
62133       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
62134       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
62142       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
62143       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
62149       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
62150       <NA>       <NA>       <NA>       <NA> Thailand ประเทศไทย         TH
            date    validOn validTo Shape_Leng.1 Shape_Area.1     ADM2_EN
10909 2019-02-18 2022-01-22    <NA>   0.08541733 0.0004504685 Phra Nakhon
62066 2019-02-18 2022-01-22    <NA>   0.08541733 0.0004504685 Phra Nakhon
62124 2019-02-18 2022-01-22    <NA>   0.08541733 0.0004504685 Phra Nakhon
62126 2019-02-18 2022-01-22    <NA>   0.08541733 0.0004504685 Phra Nakhon
62133 2019-02-18 2022-01-22    <NA>   0.08541733 0.0004504685 Phra Nakhon
62134 2019-02-18 2022-01-22    <NA>   0.08541733 0.0004504685 Phra Nakhon
62142 2019-02-18 2022-01-22    <NA>   0.08541733 0.0004504685 Phra Nakhon
62143 2019-02-18 2022-01-22    <NA>   0.08541733 0.0004504685 Phra Nakhon
62149 2019-02-18 2022-01-22    <NA>   0.08541733 0.0004504685 Phra Nakhon
62150 2019-02-18 2022-01-22    <NA>   0.08541733 0.0004504685 Phra Nakhon
      ADM2_TH ADM2_PCODE ADM2_REF ADM2ALT1EN ADM2ALT2EN ADM2ALT1TH ADM2ALT2TH
10909  พระนคร     TH1001     <NA>       <NA>       <NA>       <NA>       <NA>
62066  พระนคร     TH1001     <NA>       <NA>       <NA>       <NA>       <NA>
62124  พระนคร     TH1001     <NA>       <NA>       <NA>       <NA>       <NA>
62126  พระนคร     TH1001     <NA>       <NA>       <NA>       <NA>       <NA>
62133  พระนคร     TH1001     <NA>       <NA>       <NA>       <NA>       <NA>
62134  พระนคร     TH1001     <NA>       <NA>       <NA>       <NA>       <NA>
62142  พระนคร     TH1001     <NA>       <NA>       <NA>       <NA>       <NA>
62143  พระนคร     TH1001     <NA>       <NA>       <NA>       <NA>       <NA>
62149  พระนคร     TH1001     <NA>       <NA>       <NA>       <NA>       <NA>
62150  พระนคร     TH1001     <NA>       <NA>       <NA>       <NA>       <NA>
      ADM1_EN.1    ADM1_TH.1 ADM1_PCODE.1 ADM0_EN.1 ADM0_TH.1 ADM0_PCODE.1
10909   Bangkok กรุงเทพมหานคร         TH10  Thailand ประเทศไทย           TH
62066   Bangkok กรุงเทพมหานคร         TH10  Thailand ประเทศไทย           TH
62124   Bangkok กรุงเทพมหานคร         TH10  Thailand ประเทศไทย           TH
62126   Bangkok กรุงเทพมหานคร         TH10  Thailand ประเทศไทย           TH
62133   Bangkok กรุงเทพมหานคร         TH10  Thailand ประเทศไทย           TH
62134   Bangkok กรุงเทพมหานคร         TH10  Thailand ประเทศไทย           TH
62142   Bangkok กรุงเทพมหานคร         TH10  Thailand ประเทศไทย           TH
62143   Bangkok กรุงเทพมหานคร         TH10  Thailand ประเทศไทย           TH
62149   Bangkok กรุงเทพมหานคร         TH10  Thailand ประเทศไทย           TH
62150   Bangkok กรุงเทพมหานคร         TH10  Thailand ประเทศไทย           TH
          date.1  validOn.1 validTo.1                       geometry
10909 2019-02-18 2022-01-22      <NA> LINESTRING (100.4951 13.742...
62066 2019-02-18 2022-01-22      <NA> LINESTRING (100.5022 13.756...
62124 2019-02-18 2022-01-22      <NA> LINESTRING (100.5015 13.756...
62126 2019-02-18 2022-01-22      <NA> LINESTRING (100.505 13.7561...
62133 2019-02-18 2022-01-22      <NA> LINESTRING (100.5052 13.755...
62134 2019-02-18 2022-01-22      <NA> LINESTRING (100.4952 13.757...
62142 2019-02-18 2022-01-22      <NA> LINESTRING (100.5058 13.756...
62143 2019-02-18 2022-01-22      <NA> LINESTRING (100.5055 13.756...
62149 2019-02-18 2022-01-22      <NA> LINESTRING (100.4949 13.757...
62150 2019-02-18 2022-01-22      <NA> LINESTRING (100.5091 13.763...

city-data:

# Step 1: 从 bmr_city 中分别筛选出 Bangkok 和 Samut Prakan 的数据
bangkok_boundary <- bmr_city %>%
  filter(ADM1_EN == "Bangkok")

SamutPrakan_boundary <- bmr_city %>%
  filter(ADM1_EN == "Samut Prakan")

3.acc-data:

bangkok_acc_data <- bmr_acc %>%
  filter(province_en == "bangkok")

SamutPrakan_acc_data <- bmr_acc %>%
  filter(province_en == "samut prakan")

4.linestring:

# 确定目标坐标系为 UTM Zone 47N (EPSG: 32647)
target_crs <- 32647  # UTM Zone 47N

# 将事故数据和道路数据转换为 UTM 坐标系
bangkok_acc_data <- st_transform(bangkok_acc_data, crs = target_crs)
bangkok_roads_intersection <- st_transform(bangkok_roads_intersection, crs = target_crs)
bangkok_boundary <- st_transform(bangkok_boundary, crs = target_crs)

# 执行空间相交操作(剪切)
acc_in_bangkok <- st_intersection(bangkok_acc_data, bangkok_boundary)
roads_in_bangkok <- st_intersection(bangkok_roads_intersection, bangkok_boundary)

# 过滤出 LINESTRING 和 MULTILINESTRING 类型的几何对象
roads_in_bangkok <- roads_in_bangkok %>%
  filter(st_geometry_type(roads_in_bangkok) %in% c("LINESTRING", "MULTILINESTRING"))

# 将 MULTILINESTRING 转换为多个 LINESTRING,保留所有线段
roads_in_bangkok <- st_cast(roads_in_bangkok, "LINESTRING", group_or_split = TRUE)

# 检查转换成功与否,应该显示为 LINESTRING
st_geometry_type(roads_in_bangkok)
   [1] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
   [7] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [13] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
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[8083] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8089] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8095] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8101] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8107] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8113] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8119] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8125] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8131] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8137] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8143] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8149] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8155] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8161] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8167] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8173] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8179] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8185] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8191] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8197] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8203] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8209] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8215] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8221] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8227] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8233] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8239] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8245] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8251] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8257] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8263] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8269] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8275] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8281] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8287] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8293] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8299] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8305] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8311] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8317] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8323] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8329] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8335] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8341] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8347] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8353] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8359] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8365] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8371] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8377] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8383] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8389] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8395] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8401] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8407] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8413] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8419] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8425] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8431] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8437] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8443] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8449] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8455] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8461] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8467] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8473] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8479] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8485] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8491] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8497] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8503] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8509] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8515] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8521] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8527] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8533] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8539] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8545] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8551] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8557] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8563] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8569] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8575] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8581] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8587] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8593] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8599] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8605] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8611] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8617] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8623] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8629] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8635] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8641] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8647] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8653] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8659] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8665] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8671] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8677] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8683] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8689] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8695] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8701] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8707] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8713] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8719] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8725] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8731] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8737] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8743] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8749] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8755] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8761] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8767] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8773] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8779] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8785] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8791] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8797] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8803] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8809] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8815] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8821] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8827] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8833] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8839] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8845] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8851] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8857] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8863] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8869] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8875] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8881] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8887] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8893] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8899] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8905] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8911] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8917] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8923] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8929] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8935] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8941] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8947] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8953] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8959] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8965] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8971] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8977] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8983] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8989] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[8995] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9001] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9007] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9013] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9019] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9025] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9031] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9037] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9043] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9049] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9055] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9061] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9067] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9073] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9079] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9085] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9091] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9097] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9103] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9109] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9115] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9121] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9127] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9133] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[9139] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
18 Levels: GEOMETRY POINT LINESTRING POLYGON MULTIPOINT ... TRIANGLE
# 确定目标坐标系为 UTM Zone 47N (EPSG: 32647)
target_crs <- 32647  # UTM Zone 47N

# 将事故数据和道路数据转换为 UTM 坐标系
SamutPrakan_acc_data <- st_transform(SamutPrakan_acc_data, crs = target_crs)
SamutPrakan_roads_intersection <- st_transform(SamutPrakan_roads_intersection, crs = target_crs)
SamutPrakan_boundary <- st_transform(SamutPrakan_boundary, crs = target_crs)

# 执行空间相交操作(剪切)
acc_in_SamutPrakan <- st_intersection(SamutPrakan_acc_data, SamutPrakan_boundary)
roads_in_SamutPrakan <- st_intersection(SamutPrakan_roads_intersection, SamutPrakan_boundary)

# 过滤出 LINESTRING 和 MULTILINESTRING 类型的几何对象
roads_in_SamutPrakan <- roads_in_SamutPrakan %>%
  filter(st_geometry_type(roads_in_SamutPrakan) %in% c("LINESTRING", "MULTILINESTRING"))

# 将 MULTILINESTRING 转换为多个 LINESTRING,保留所有线段
roads_in_SamutPrakan <- st_cast(roads_in_SamutPrakan, "LINESTRING", group_or_split = TRUE)

# 检查转换成功与否,应该显示为 LINESTRING
st_geometry_type(roads_in_SamutPrakan)
   [1] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
   [7] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [13] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [19] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [25] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [31] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [37] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [43] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [49] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [55] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [61] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [67] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [73] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [79] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [85] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [91] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
  [97] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
 [103] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
 [109] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
 [115] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
 [121] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
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 [139] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
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 [991] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
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[1003] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1009] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1015] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1021] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1027] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
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[1081] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1087] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
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[1099] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1105] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1111] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1117] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1123] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
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[1525] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1531] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1537] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1543] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1549] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1555] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1561] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1567] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1573] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1579] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1585] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1591] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1597] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1603] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1609] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1615] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1621] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1627] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1633] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1639] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1645] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1651] LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING LINESTRING
[1657] LINESTRING LINESTRING
18 Levels: GEOMETRY POINT LINESTRING POLYGON MULTIPOINT ... TRIANGLE

5.acc_in_xx(city):

# 将所有数据转换为UTM坐标系 (EPSG: 32647)
target_crs <- 32647  # UTM Zone 47N

# 转换事故数据和边界数据的CRS
bmr_acc_data <- st_transform(bmr_acc, crs = target_crs)
bmr_boundary <- st_transform(bmr, crs = target_crs)

# 执行剪切操作,获取BMR内的事故点
acc_in_bmr <- st_intersection(bmr_acc_data, bmr_boundary)

# 将 _roads_intersection 转换为 LINESTRING
roads_in_bangkok_lines <- st_cast(roads_in_bangkok, "LINESTRING")
roads_in_SamutPrakan_lines <- st_cast(roads_in_SamutPrakan, "LINESTRING")
# 使用 lixelize_lines 函数生成 lixels,设置合适的单元长度
# 假设高速公路路段较长,选择 5000 米的 lixel 单元
lixels_bangkok <- lixelize_lines(roads_in_bangkok_lines,
                         10000,        # 5000 米的 lixel 单元
                         mindist = 5000)  # 最小距离设置为 5000 米

# 使用 lines_center 生成样本点,取每个 lixel 的中心点
samples_bangkok <- lines_center(lixels_bangkok)
roads_in_SamutPrakan_lines <- st_cast(SamutPrakan_roads_intersection, "LINESTRING")

# 使用 lixelize_lines 函数生成 lixels,设置合适的单元长度
# 假设高速公路路段较长,选择 10000 米的 lixel 单元
lixels_SamutPrakan <- lixelize_lines(roads_in_SamutPrakan_lines,
                                      10000,        # 10000 米的 lixel 单元
                                      mindist = 5000)  # 最小距离设置为 5000 米

# 使用 lines_center 生成样本点,取每个 lixel 的中心点
samples_SamutPrakan <- lines_center(lixels_SamutPrakan)

6.NEKD:

# 修改后的 nkde 函数,使用 bangkok 的数据
# Ensure acc_in_bangkok is an sf object with valid geometries
acc_in_bangkok <- st_as_sf(bangkok_acc_data)

# Same for Samut Prakan
acc_in_SamutPrakan <- st_as_sf(SamutPrakan_acc_data)

nkde_result_bangkok <- nkde(
  lines = lixels_bangkok,                      # 替换为 Bangkok 的 lixels
  events = acc_in_bangkok,                     # 替换为 Bangkok 的事故数据
  w = rep(1, nrow(acc_in_bangkok)),            # 权重
  samples = samples_bangkok,                   # 使用 samples_bangkok
  kernel_name = "quartic",                     # 四次核
  bw = 500,                                    # 带宽为500米
  div = "bw",                                  # 带宽标准化
  method = "simple",                           # 简单方法
  grid_shape = c(200, 200),                    # 网格形状
  verbose = TRUE                               # 打印详细信息
)
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[1] "combining the results ..."
# 修改后的 nkde 函数,使用 Samut_Prakan 的数据
nkde_result_SamutPrakan <- nkde(
  lines = lixels_SamutPrakan,                 # 替换为 Samut_Prakan 的 lixels
  events = acc_in_SamutPrakan,                # 替换为 Samut_Prakan 的事故数据
  w = rep(1, nrow(acc_in_SamutPrakan)),       # 权重
  samples = samples_SamutPrakan,              # 使用 samples_Samut_Prakan
  kernel_name = "quartic",                     # 四次核
  bw = 500,                                    # 带宽为500米
  div = "bw",                                  # 带宽标准化
  method = "simple",                           # 简单方法
  grid_shape = c(200, 200),                    # 网格形状
  verbose = TRUE                               # 打印详细信息
)
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  |                                                                            
  |===================================                                   |  50%
  |                                                                            
  |======================================================================| 100%[1] "    quadra 847/855"
[1] "    build graph ..."
[1] "        calculating NKDE values ..."

  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |======================================================================| 100%[1] "    quadra 848/855"
[1] "    build graph ..."
[1] "        calculating NKDE values ..."

  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |======================================================================| 100%[1] "    quadra 849/855"
[1] "    quadra 850/855"
[1] "    build graph ..."
[1] "        calculating NKDE values ..."

  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |======================================================================| 100%[1] "    quadra 851/855"
[1] "    build graph ..."
[1] "        calculating NKDE values ..."

  |                                                                            
  |                                                                      |   0%
  |                                                                            
  |======================================================================| 100%[1] "    quadra 852/855"
[1] "    quadra 853/855"
[1] "    quadra 854/855"
[1] "    quadra 855/855"
[1] "combining the results ..."

7.diffent:

print(nkde_result_bangkok)
   [1] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
   [6] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [11] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [16] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [21] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [26] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [31] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [36] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [41] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [46] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [51] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [56] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [61] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [66] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [71] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [76] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [81] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [86] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [91] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
  [96] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [101] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [106] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [111] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [116] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [121] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [126] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [131] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [136] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [141] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [146] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [151] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [156] 0.000000e+00 0.000000e+00 1.797126e-06 0.000000e+00 0.000000e+00
 [161] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [166] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [171] 0.000000e+00 1.696405e-08 0.000000e+00 0.000000e+00 0.000000e+00
 [176] 0.000000e+00 0.000000e+00 0.000000e+00 1.398770e-07 0.000000e+00
 [181] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [186] 0.000000e+00 4.685121e-07 0.000000e+00 0.000000e+00 0.000000e+00
 [191] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 3.737865e-07
 [196] 5.920879e-07 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [201] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [206] 9.116359e-07 1.990933e-06 1.059222e-06 0.000000e+00 0.000000e+00
 [211] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [216] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [221] 0.000000e+00 0.000000e+00 0.000000e+00 1.297769e-08 0.000000e+00
 [226] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [231] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [236] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 6.656817e-08
 [241] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [246] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [251] 0.000000e+00 0.000000e+00 2.382190e-08 5.320467e-08 2.359191e-06
 [256] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [261] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [266] 7.025007e-08 0.000000e+00 0.000000e+00 0.000000e+00 1.390769e-06
 [271] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [276] 0.000000e+00 0.000000e+00 1.844973e-06 0.000000e+00 1.215640e-05
 [281] 0.000000e+00 7.024518e-06 1.799427e-06 1.641238e-05 5.239336e-06
 [286] 2.199947e-06 0.000000e+00 0.000000e+00 7.156931e-07 3.555842e-06
 [291] 0.000000e+00 6.646976e-06 2.356076e-05 3.492516e-06 0.000000e+00
 [296] 0.000000e+00 5.614937e-06 1.867668e-06 9.251491e-06 1.868636e-05
 [301] 0.000000e+00 9.213527e-08 1.344169e-06 0.000000e+00 3.299578e-06
 [306] 0.000000e+00 1.389824e-05 0.000000e+00 0.000000e+00 0.000000e+00
 [311] 0.000000e+00 2.434135e-06 3.624873e-07 0.000000e+00 3.055711e-06
 [316] 0.000000e+00 3.248931e-07 0.000000e+00 1.266403e-05 1.922768e-06
 [321] 3.946660e-08 2.378681e-06 0.000000e+00 0.000000e+00 9.718579e-06
 [326] 0.000000e+00 1.090929e-05 0.000000e+00 0.000000e+00 0.000000e+00
 [331] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 7.298704e-06
 [336] 0.000000e+00 1.100718e-05 7.133622e-06 0.000000e+00 0.000000e+00
 [341] 0.000000e+00 4.954428e-06 0.000000e+00 0.000000e+00 0.000000e+00
 [346] 2.223315e-07 0.000000e+00 0.000000e+00 1.637442e-06 1.074396e-05
 [351] 3.722528e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [356] 0.000000e+00 0.000000e+00 0.000000e+00 5.983345e-06 0.000000e+00
 [361] 3.670767e-06 0.000000e+00 0.000000e+00 1.067183e-05 0.000000e+00
 [366] 1.019622e-05 1.711697e-06 2.435058e-06 0.000000e+00 3.374460e-08
 [371] 0.000000e+00 0.000000e+00 3.073637e-06 6.372753e-06 3.465985e-06
 [376] 9.062190e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [381] 7.388782e-06 2.719025e-06 3.426102e-06 7.323033e-06 6.370424e-06
 [386] 2.153409e-06 7.407200e-06 9.338092e-07 2.019150e-06 8.808200e-06
 [391] 9.144903e-06 9.093062e-06 2.946735e-06 1.015799e-05 1.060599e-05
 [396] 0.000000e+00 1.930928e-05 6.586580e-06 0.000000e+00 0.000000e+00
 [401] 8.706537e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [406] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [411] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 6.780502e-06
 [416] 1.572883e-05 0.000000e+00 4.614672e-06 0.000000e+00 0.000000e+00
 [421] 6.335798e-06 0.000000e+00 0.000000e+00 0.000000e+00 6.078484e-06
 [426] 1.144708e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [431] 0.000000e+00 0.000000e+00 9.084216e-06 3.445999e-06 1.665765e-06
 [436] 1.584454e-06 7.953323e-07 6.530353e-06 6.211192e-06 0.000000e+00
 [441] 1.259346e-05 0.000000e+00 0.000000e+00 1.254062e-05 0.000000e+00
 [446] 1.255742e-05 1.246927e-05 0.000000e+00 6.234456e-06 1.230884e-05
 [451] 0.000000e+00 1.158821e-05 1.745471e-08 7.693164e-06 5.127248e-06
 [456] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [461] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [466] 0.000000e+00 0.000000e+00 0.000000e+00 3.779482e-06 2.658069e-06
 [471] 9.930298e-07 3.249750e-06 4.353202e-09 3.285916e-06 3.068102e-06
 [476] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.915223e-07
 [481] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [486] 1.009233e-06 7.833319e-07 0.000000e+00 0.000000e+00 0.000000e+00
 [491] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [496] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [501] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [506] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [511] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [516] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [521] 0.000000e+00 0.000000e+00 0.000000e+00 1.488694e-06 0.000000e+00
 [526] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [531] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [536] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [541] 7.329366e-07 0.000000e+00 0.000000e+00 0.000000e+00 5.916741e-06
 [546] 0.000000e+00 6.009681e-06 0.000000e+00 0.000000e+00 0.000000e+00
 [551] 0.000000e+00 0.000000e+00 0.000000e+00 5.924518e-07 0.000000e+00
 [556] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [561] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [566] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [571] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [576] 5.567481e-07 2.885810e-09 0.000000e+00 0.000000e+00 0.000000e+00
 [581] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [586] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [591] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [596] 0.000000e+00 6.820765e-05 1.033993e-05 7.485733e-08 0.000000e+00
 [601] 0.000000e+00 0.000000e+00 1.495734e-07 3.454084e-06 1.250815e-06
 [606] 0.000000e+00 0.000000e+00 3.237794e-06 0.000000e+00 0.000000e+00
 [611] 0.000000e+00 6.807831e-05 0.000000e+00 0.000000e+00 0.000000e+00
 [616] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [621] 0.000000e+00 0.000000e+00 0.000000e+00 1.855260e-06 0.000000e+00
 [626] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [631] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [636] 0.000000e+00 0.000000e+00 0.000000e+00 5.280103e-10 2.096844e-06
 [641] 3.082500e-06 3.561545e-06 6.582888e-06 0.000000e+00 0.000000e+00
 [646] 0.000000e+00 0.000000e+00 7.170204e-06 6.214629e-06 0.000000e+00
 [651] 6.046492e-06 3.775188e-06 0.000000e+00 0.000000e+00 0.000000e+00
 [656] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [661] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [666] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.919334e-06
 [671] 5.377777e-06 4.761273e-08 0.000000e+00 0.000000e+00 3.929693e-07
 [676] 8.003699e-09 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [681] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [686] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [691] 0.000000e+00 0.000000e+00 3.190769e-06 0.000000e+00 0.000000e+00
 [696] 5.557049e-07 1.619271e-07 0.000000e+00 0.000000e+00 0.000000e+00
 [701] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.089955e-06
 [706] 3.560875e-06 0.000000e+00 1.398111e-06 0.000000e+00 0.000000e+00
 [711] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [716] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [721] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [726] 0.000000e+00 0.000000e+00 0.000000e+00 2.242244e-06 0.000000e+00
 [731] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [736] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [741] 0.000000e+00 8.332891e-10 0.000000e+00 0.000000e+00 0.000000e+00
 [746] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [751] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 3.586116e-06
 [756] 0.000000e+00 0.000000e+00 1.357111e-06 0.000000e+00 2.750846e-06
 [761] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [766] 9.343356e-07 2.979498e-05 3.849060e-05 1.381150e-05 6.010963e-05
 [771] 0.000000e+00 0.000000e+00 3.905678e-06 0.000000e+00 0.000000e+00
 [776] 1.039990e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [781] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [786] 3.071363e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [791] 7.339506e-06 6.706494e-05 0.000000e+00 2.791749e-05 0.000000e+00
 [796] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [801] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [806] 0.000000e+00 1.150144e-05 0.000000e+00 0.000000e+00 0.000000e+00
 [811] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [816] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [821] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [826] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [831] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [836] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [841] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [846] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [851] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [856] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [861] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [866] 0.000000e+00 0.000000e+00 8.342024e-06 0.000000e+00 0.000000e+00
 [871] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [876] 0.000000e+00 7.381671e-08 0.000000e+00 0.000000e+00 0.000000e+00
 [881] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [886] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [891] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [896] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [901] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [906] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [911] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [916] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [921] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [926] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [931] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [936] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [941] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [946] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [951] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [956] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [961] 0.000000e+00 0.000000e+00 0.000000e+00 2.612469e-07 0.000000e+00
 [966] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [971] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [976] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [981] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [986] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [991] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [996] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1001] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1006] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1011] 1.690181e-05 6.833859e-06 3.503107e-06 0.000000e+00 0.000000e+00
[1016] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1021] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1026] 5.263685e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1031] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1036] 0.000000e+00 9.791337e-06 0.000000e+00 0.000000e+00 0.000000e+00
[1041] 0.000000e+00 0.000000e+00 1.627966e-05 7.173567e-06 2.192853e-06
[1046] 0.000000e+00 9.113112e-08 0.000000e+00 0.000000e+00 5.090724e-07
[1051] 0.000000e+00 0.000000e+00 0.000000e+00 3.836517e-06 3.279875e-06
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[8406] 0.000000e+00 1.565508e-06 3.551597e-07 0.000000e+00 0.000000e+00
[8411] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8416] 9.436570e-07 8.920523e-06 2.158941e-05 0.000000e+00 0.000000e+00
[8421] 0.000000e+00 0.000000e+00 1.513487e-07 3.699833e-06 3.444521e-06
[8426] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8431] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8436] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8441] 2.275497e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8446] 0.000000e+00 0.000000e+00 0.000000e+00 5.042667e-06 0.000000e+00
[8451] 0.000000e+00 0.000000e+00 1.743764e-05 1.483369e-05 1.981239e-05
[8456] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8461] 0.000000e+00 0.000000e+00 3.848588e-06 0.000000e+00 1.894890e-08
[8466] 9.294303e-05 2.554583e-05 3.689934e-06 1.595374e-05 1.047759e-06
[8471] 1.770698e-06 6.227060e-05 6.406819e-05 0.000000e+00 3.564915e-06
[8476] 2.684943e-05 0.000000e+00 3.714297e-06 0.000000e+00 0.000000e+00
[8481] 0.000000e+00 0.000000e+00 3.912012e-06 3.744292e-06 3.774659e-06
[8486] 0.000000e+00 0.000000e+00 3.737110e-06 0.000000e+00 1.479300e-05
[8491] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8496] 4.471124e-05 9.121258e-05 0.000000e+00 0.000000e+00 6.451393e-07
[8501] 1.490501e-05 3.147298e-06 2.668112e-06 3.592691e-06 1.072063e-06
[8506] 1.790186e-06 4.055031e-06 3.891474e-06 5.562215e-05 5.876068e-05
[8511] 1.725621e-05 6.295634e-05 0.000000e+00 1.867844e-06 8.690472e-08
[8516] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 7.911483e-05
[8521] 9.191417e-05 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8526] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8531] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8536] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8541] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8546] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8551] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8556] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8561] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 6.097539e-05
[8566] 7.471108e-05 3.287382e-05 6.997943e-05 0.000000e+00 0.000000e+00
[8571] 3.567600e-06 3.476111e-06 0.000000e+00 0.000000e+00 0.000000e+00
[8576] 0.000000e+00 3.753775e-06 4.028963e-06 3.572963e-06 0.000000e+00
[8581] 4.013092e-06 0.000000e+00 2.383499e-06 2.906416e-06 3.564890e-06
[8586] 3.655618e-06 2.028381e-05 2.438617e-05 2.557073e-05 0.000000e+00
[8591] 0.000000e+00 0.000000e+00 1.904936e-06 0.000000e+00 0.000000e+00
[8596] 4.398184e-06 6.816438e-06 1.054615e-05 0.000000e+00 0.000000e+00
[8601] 1.074873e-05 4.455011e-06 0.000000e+00 1.636376e-06 1.096589e-05
[8606] 1.101135e-05 2.283312e-06 0.000000e+00 9.186485e-06 0.000000e+00
[8611] 0.000000e+00 3.716736e-07 0.000000e+00 3.747102e-06 0.000000e+00
[8616] 0.000000e+00 8.737410e-07 0.000000e+00 1.118613e-06 7.225470e-06
[8621] 3.170229e-06 0.000000e+00 4.474725e-06 0.000000e+00 2.225297e-06
[8626] 9.797420e-06 0.000000e+00 7.219608e-06 0.000000e+00 0.000000e+00
[8631] 9.687151e-06 0.000000e+00 1.059722e-05 1.040693e-05 3.306354e-06
[8636] 0.000000e+00 0.000000e+00 0.000000e+00 1.080820e-05 1.090724e-05
[8641] 0.000000e+00 1.097113e-05 9.706480e-06 1.418083e-06 7.812167e-06
[8646] 4.426855e-06 0.000000e+00 1.674656e-06 0.000000e+00 1.019012e-05
[8651] 8.267139e-06 2.314400e-06 6.398638e-06 1.051968e-05 9.991298e-07
[8656] 1.850746e-06 1.381101e-05 1.990430e-08 2.598420e-06 1.389506e-05
[8661] 1.324620e-05 1.592950e-06 7.700684e-08 1.184894e-05 0.000000e+00
[8666] 0.000000e+00 6.824838e-06 2.179077e-05 6.226569e-07 8.226244e-06
[8671] 7.520647e-06 9.108485e-06 7.040842e-06 4.478783e-06 6.086479e-06
[8676] 5.405308e-06 5.957211e-06 1.531749e-08 0.000000e+00 0.000000e+00
[8681] 0.000000e+00 3.177729e-06 9.463065e-06 3.743189e-06 1.906311e-06
[8686] 0.000000e+00 0.000000e+00 3.701244e-07 0.000000e+00 8.589808e-07
[8691] 3.558210e-08 0.000000e+00 2.460619e-06 0.000000e+00 1.058811e-05
[8696] 1.096439e-05 0.000000e+00 8.432396e-09 8.390006e-06 2.394743e-06
[8701] 6.150134e-06 1.080279e-05 1.079060e-05 0.000000e+00 0.000000e+00
[8706] 1.098536e-05 1.001982e-05 0.000000e+00 0.000000e+00 0.000000e+00
[8711] 0.000000e+00 7.603336e-06 0.000000e+00 0.000000e+00 0.000000e+00
[8716] 0.000000e+00 1.845554e-07 0.000000e+00 8.447551e-06 4.703291e-06
[8721] 2.862921e-06 0.000000e+00 5.940954e-06 0.000000e+00 0.000000e+00
[8726] 0.000000e+00 2.498991e-06 0.000000e+00 1.884281e-05 0.000000e+00
[8731] 0.000000e+00 2.688118e-05 1.130235e-05 3.435324e-05 7.207937e-06
[8736] 3.139727e-05 3.282322e-06 9.444378e-05 6.508949e-05 1.865195e-05
[8741] 0.000000e+00 1.286764e-05 1.426418e-05 0.000000e+00 4.452011e-05
[8746] 9.146127e-06 5.873450e-06 0.000000e+00 2.798857e-06 3.354321e-06
[8751] 1.488465e-04 1.433597e-05 3.736745e-06 7.188073e-06 1.278793e-05
[8756] 6.510202e-06 1.148289e-05 0.000000e+00 0.000000e+00 0.000000e+00
[8761] 0.000000e+00 1.152996e-06 4.577598e-07 1.920014e-05 0.000000e+00
[8766] 3.718161e-05 1.572644e-05 0.000000e+00 0.000000e+00 5.600286e-05
[8771] 2.141338e-06 6.088608e-05 2.167417e-05 0.000000e+00 0.000000e+00
[8776] 0.000000e+00 1.369219e-05 8.598171e-06 1.162441e-05 1.048046e-05
[8781] 0.000000e+00 1.138323e-06 3.978157e-05 0.000000e+00 0.000000e+00
[8786] 0.000000e+00 0.000000e+00 1.488712e-05 6.608242e-05 4.831961e-05
[8791] 4.330620e-05 9.959006e-05 1.185613e-05 2.325748e-05 2.119917e-05
[8796] 2.526570e-05 9.331445e-06 0.000000e+00 0.000000e+00 0.000000e+00
[8801] 0.000000e+00 0.000000e+00 0.000000e+00 1.673496e-05 1.003716e-05
[8806] 0.000000e+00 0.000000e+00 2.475385e-07 1.450685e-05 4.526178e-05
[8811] 2.602282e-05 0.000000e+00 0.000000e+00 4.548532e-07 1.702690e-05
[8816] 6.770124e-06 5.575047e-05 0.000000e+00 1.569470e-06 5.446758e-05
[8821] 3.917894e-05 1.168075e-05 3.693003e-05 3.124254e-05 1.885765e-05
[8826] 9.337287e-06 3.972367e-05 0.000000e+00 0.000000e+00 0.000000e+00
[8831] 1.335809e-05 8.925014e-06 0.000000e+00 1.148387e-05 0.000000e+00
[8836] 1.517157e-05 0.000000e+00 2.972327e-05 7.223287e-05 3.724073e-06
[8841] 4.905142e-05 8.599100e-06 2.235346e-05 1.435608e-05 1.956901e-05
[8846] 5.549304e-05 3.089834e-05 0.000000e+00 0.000000e+00 0.000000e+00
[8851] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.128183e-05
[8856] 5.964240e-07 5.642427e-06 1.977589e-05 9.572121e-06 0.000000e+00
[8861] 2.424610e-05 0.000000e+00 0.000000e+00 0.000000e+00 1.501823e-05
[8866] 1.112974e-05 1.362985e-05 2.326184e-06 1.652137e-05 0.000000e+00
[8871] 6.099422e-05 0.000000e+00 4.171912e-05 8.561950e-05 1.483146e-05
[8876] 1.521746e-05 7.437307e-05 2.780350e-05 2.548277e-05 3.739935e-05
[8881] 5.438291e-06 1.259697e-05 1.465208e-05 6.137254e-06 1.113577e-05
[8886] 9.396119e-06 3.632872e-06 1.070051e-05 1.480068e-05 2.181409e-05
[8891] 2.333744e-05 2.453683e-05 1.581673e-05 1.883705e-05 4.360252e-05
[8896] 4.190093e-05 3.856703e-06 8.838088e-05 1.399614e-04 0.000000e+00
[8901] 0.000000e+00 0.000000e+00 0.000000e+00 2.904723e-06 0.000000e+00
[8906] 1.587114e-05 0.000000e+00 1.487018e-05 0.000000e+00 0.000000e+00
[8911] 0.000000e+00 1.956536e-05 9.793531e-06 2.088706e-06 1.888650e-06
[8916] 9.940963e-06 3.740264e-05 2.616738e-05 3.079246e-05 9.182881e-06
[8921] 0.000000e+00 0.000000e+00 0.000000e+00 7.518509e-06 3.743234e-06
[8926] 5.840700e-06 1.179798e-05 1.402502e-05 1.409108e-06 7.696941e-06
[8931] 9.003097e-06 1.034810e-05 1.528439e-05 0.000000e+00 0.000000e+00
[8936] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8941] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8946] 2.624682e-05 0.000000e+00 1.099077e-05 9.506880e-06 0.000000e+00
[8951] 1.137894e-05 3.516567e-05 1.433558e-05 0.000000e+00 0.000000e+00
[8956] 1.379068e-05 8.650746e-06 0.000000e+00 0.000000e+00 0.000000e+00
[8961] 3.743000e-06 0.000000e+00 0.000000e+00 0.000000e+00 8.364188e-05
[8966] 5.229016e-08 7.599961e-06 0.000000e+00 0.000000e+00 0.000000e+00
[8971] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8976] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8981] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8986] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8991] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[8996] 0.000000e+00 0.000000e+00 0.000000e+00 3.538543e-06 0.000000e+00
[9001] 0.000000e+00 0.000000e+00 0.000000e+00 3.648946e-06 1.193370e-05
[9006] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[9011] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[9016] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[9021] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[9026] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[9031] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 1.420944e-05
[9036] 1.389582e-09 3.683050e-05 2.085348e-05 0.000000e+00 0.000000e+00
[9041] 1.640418e-05 9.385660e-06 9.066886e-06 0.000000e+00 0.000000e+00
[9046] 1.212919e-05 6.153039e-06 8.204537e-06 1.251473e-05 2.117006e-05
[9051] 2.343564e-05 0.000000e+00 0.000000e+00 5.296602e-06 0.000000e+00
[9056] 0.000000e+00 5.668664e-06 0.000000e+00 0.000000e+00 1.087549e-05
[9061] 5.311981e-06 1.330456e-05 7.230244e-06 1.267972e-05 0.000000e+00
[9066] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[9071] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[9076] 1.417702e-07 1.169280e-06 3.891322e-06 2.280142e-06 0.000000e+00
[9081] 6.744273e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[9086] 0.000000e+00 0.000000e+00 8.722272e-06 0.000000e+00 9.256178e-06
[9091] 8.144799e-06 6.795240e-06 8.999001e-06 1.070536e-05 0.000000e+00
[9096] 1.027576e-05 1.576335e-05 0.000000e+00 0.000000e+00 0.000000e+00
[9101] 1.360471e-05 1.425764e-05 1.265967e-05 6.837101e-06 7.175901e-06
[9106] 0.000000e+00 0.000000e+00 6.115519e-06 0.000000e+00 4.280826e-06
[9111] 3.517401e-06 2.034884e-06 5.024481e-06 4.286403e-06 1.891131e-05
[9116] 2.942515e-06 0.000000e+00 2.204166e-05 0.000000e+00 0.000000e+00
[9121] 2.858436e-06 0.000000e+00 3.331110e-06 1.886007e-06 0.000000e+00
[9126] 0.000000e+00 3.767866e-06 3.437492e-06 1.948246e-06 9.555560e-06
[9131] 3.517121e-05 4.783468e-06 1.059869e-09 1.899528e-05 3.204048e-06
[9136] 2.962181e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[9141] 7.411923e-06 6.911184e-06 1.480042e-05 8.658562e-07
print(nkde_result_SamutPrakan)
   [1] 0.000000e+00 0.000000e+00 0.000000e+00 3.494534e-06 3.262701e-06
   [6] 2.948858e-06 2.069294e-06 3.461549e-06 0.000000e+00 0.000000e+00
  [11] 5.726079e-06 0.000000e+00 3.492638e-06 6.663774e-06 3.668699e-06
  [16] 4.108230e-05 0.000000e+00 0.000000e+00 0.000000e+00 2.286119e-06
  [21] 3.168831e-06 6.656313e-06 0.000000e+00 0.000000e+00 9.465650e-08
  [26] 0.000000e+00 0.000000e+00 9.731011e-08 3.221850e-06 3.124893e-06
  [31] 3.576321e-06 2.348798e-06 3.759297e-07 3.442695e-06 4.666151e-06
  [36] 2.030863e-06 2.687329e-06 0.000000e+00 0.000000e+00 0.000000e+00
  [41] 0.000000e+00 0.000000e+00 1.174681e-06 2.490459e-06 1.161145e-06
  [46] 4.826543e-06 3.632957e-06 3.423648e-06 0.000000e+00 1.180858e-11
  [51] 5.517015e-06 2.435184e-06 8.914182e-07 0.000000e+00 8.065636e-06
  [56] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.558657e-06
  [61] 0.000000e+00 3.444098e-06 4.228264e-06 0.000000e+00 0.000000e+00
  [66] 3.256330e-06 1.121763e-06 0.000000e+00 3.566858e-06 3.127851e-06
  [71] 0.000000e+00 2.150030e-07 0.000000e+00 0.000000e+00 6.480558e-06
  [76] 6.563965e-06 9.617832e-10 7.307140e-06 0.000000e+00 0.000000e+00
  [81] 0.000000e+00 4.230536e-06 5.511411e-06 7.273726e-08 0.000000e+00
  [86] 8.294441e-06 7.285718e-06 2.875834e-06 0.000000e+00 3.674417e-06
  [91] 0.000000e+00 0.000000e+00 0.000000e+00 7.184544e-06 0.000000e+00
  [96] 4.411567e-06 4.279312e-06 3.981295e-06 4.282008e-06 3.420327e-06
 [101] 3.178083e-06 6.705535e-06 0.000000e+00 3.139886e-06 3.534342e-06
 [106] 4.920463e-07 2.335402e-06 3.067592e-06 4.073988e-07 2.842882e-06
 [111] 0.000000e+00 1.277515e-06 9.592650e-06 6.220365e-06 5.277144e-06
 [116] 0.000000e+00 0.000000e+00 3.595329e-06 0.000000e+00 0.000000e+00
 [121] 0.000000e+00 0.000000e+00 1.208943e-05 0.000000e+00 7.681290e-06
 [126] 7.258255e-06 0.000000e+00 7.352862e-06 0.000000e+00 0.000000e+00
 [131] 0.000000e+00 3.743802e-06 0.000000e+00 0.000000e+00 0.000000e+00
 [136] 3.671983e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [141] 0.000000e+00 0.000000e+00 0.000000e+00 1.269115e-06 0.000000e+00
 [146] 1.459079e-05 0.000000e+00 3.627635e-05 2.578938e-05 0.000000e+00
 [151] 0.000000e+00 2.245853e-06 2.333341e-06 0.000000e+00 0.000000e+00
 [156] 9.052157e-07 0.000000e+00 5.987898e-07 3.265880e-06 0.000000e+00
 [161] 1.083135e-06 1.123653e-06 0.000000e+00 0.000000e+00 0.000000e+00
 [166] 0.000000e+00 0.000000e+00 0.000000e+00 5.610442e-06 0.000000e+00
 [171] 3.750234e-07 0.000000e+00 0.000000e+00 2.923845e-06 6.402374e-07
 [176] 0.000000e+00 0.000000e+00 2.637637e-06 0.000000e+00 6.449029e-07
 [181] 4.804052e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
 [186] 2.731967e-06 1.947315e-06 0.000000e+00 0.000000e+00 0.000000e+00
 [191] 1.921971e-06 3.801131e-06 2.738222e-06 0.000000e+00 3.570201e-06
 [196] 8.482044e-07 0.000000e+00 4.814710e-06 0.000000e+00 0.000000e+00
 [201] 0.000000e+00 0.000000e+00 7.092256e-06 0.000000e+00 0.000000e+00
 [206] 8.674133e-06 0.000000e+00 3.088717e-07 6.240516e-06 9.602422e-07
 [211] 2.696121e-06 9.468462e-06 0.000000e+00 2.473729e-05 8.102538e-06
 [216] 5.995594e-06 4.746939e-06 2.838052e-06 3.359818e-06 5.814737e-06
 [221] 9.220221e-06 3.818528e-06 1.319899e-05 0.000000e+00 3.499430e-06
 [226] 0.000000e+00 2.047025e-06 7.739184e-07 3.431332e-06 3.747511e-06
 [231] 3.483092e-06 3.130322e-06 0.000000e+00 0.000000e+00 1.382147e-06
 [236] 7.447498e-06 2.238162e-07 4.037840e-06 0.000000e+00 5.929295e-07
 [241] 3.007737e-06 3.999934e-06 3.852326e-06 0.000000e+00 0.000000e+00
 [246] 0.000000e+00 4.499201e-06 3.576515e-06 3.399134e-06 0.000000e+00
 [251] 6.476085e-06 3.686823e-06 0.000000e+00 0.000000e+00 0.000000e+00
 [256] 6.233606e-06 0.000000e+00 6.051374e-06 2.298425e-06 1.069020e-07
 [261] 8.355290e-06 7.023996e-06 0.000000e+00 3.711844e-06 5.611227e-07
 [266] 3.238487e-06 5.422993e-06 0.000000e+00 0.000000e+00 2.247184e-08
 [271] 0.000000e+00 6.706426e-06 0.000000e+00 0.000000e+00 3.720089e-06
 [276] 5.196424e-06 5.838650e-06 5.925262e-06 0.000000e+00 3.745482e-06
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[1276] 2.679383e-05 0.000000e+00 1.279369e-07 0.000000e+00 2.667955e-05
[1281] 0.000000e+00 1.736218e-05 1.217707e-05 0.000000e+00 0.000000e+00
[1286] 2.258547e-05 0.000000e+00 2.880048e-05 1.091095e-05 3.855634e-06
[1291] 1.462699e-05 2.109495e-05 3.381224e-05 1.435928e-05 2.273874e-05
[1296] 6.724471e-06 1.765301e-05 6.553831e-06 1.788093e-05 0.000000e+00
[1301] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1306] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1311] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1316] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1321] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 3.339525e-06
[1326] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.453155e-05
[1331] 1.074524e-07 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1336] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1341] 0.000000e+00 0.000000e+00 2.253636e-05 0.000000e+00 0.000000e+00
[1346] 3.207159e-05 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1351] 0.000000e+00 2.960092e-08 1.071708e-05 6.555440e-06 1.622711e-05
[1356] 4.157138e-05 1.545956e-05 0.000000e+00 3.478733e-05 3.502830e-05
[1361] 4.402226e-05 2.485322e-05 2.372626e-05 0.000000e+00 0.000000e+00
[1366] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1371] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1376] 2.579900e-05 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1381] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 2.664967e-05
[1386] 2.664352e-05 0.000000e+00 0.000000e+00 0.000000e+00 3.432754e-05
[1391] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 3.566006e-05
[1396] 3.212144e-06 3.091614e-05 3.480470e-05 0.000000e+00 0.000000e+00
[1401] 4.759787e-05 2.599756e-05 2.397522e-05 6.810297e-06 1.583431e-05
[1406] 7.351839e-06 5.712610e-05 5.840281e-06 1.579779e-05 3.212593e-06
[1411] 5.690670e-07 4.289688e-06 1.547419e-05 9.886393e-07 6.953264e-06
[1416] 1.615551e-06 0.000000e+00 0.000000e+00 9.386392e-06 0.000000e+00
[1421] 1.962251e-05 1.094499e-05 3.699398e-04 1.283798e-04 1.529716e-04
[1426] 0.000000e+00 0.000000e+00 0.000000e+00 1.211489e-06 5.645676e-06
[1431] 1.584703e-04 3.368536e-06 0.000000e+00 0.000000e+00 0.000000e+00
[1436] 8.109978e-07 0.000000e+00 0.000000e+00 0.000000e+00 6.507394e-07
[1441] 3.685815e-05 1.189800e-06 0.000000e+00 9.658384e-06 2.265937e-05
[1446] 7.164876e-06 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00
[1451] 1.297789e-06 2.966729e-06 0.000000e+00 0.000000e+00 3.249372e-06
[1456] 3.556397e-06 1.476207e-05 5.578903e-06 0.000000e+00 5.902451e-05
[1461] 3.157554e-06 1.789411e-05 7.961534e-06 4.074571e-06 0.000000e+00
[1466] 0.000000e+00 5.699068e-06 1.413960e-04 1.051345e-04 1.591135e-04
[1471] 0.000000e+00 9.901214e-05 9.986561e-05 3.568068e-05 4.147215e-05
[1476] 1.673891e-05 1.785747e-05 3.167934e-06 2.367510e-05 0.000000e+00
[1481] 0.000000e+00 0.000000e+00 0.000000e+00 9.655755e-06 9.991547e-06
[1486] 6.426808e-06 4.855516e-05 0.000000e+00 1.364082e-04 3.539170e-05
[1491] 1.090235e-05 0.000000e+00 1.397525e-04 4.242856e-07 6.058276e-06
[1496] 2.137954e-05 1.028563e-05 2.791478e-05 4.595720e-07 5.902218e-06
[1501] 2.970427e-06 4.995913e-08 0.000000e+00 3.578818e-05 7.217125e-06
[1506] 1.283008e-06 0.000000e+00 1.505284e-06 0.000000e+00 0.000000e+00
[1511] 0.000000e+00 0.000000e+00 0.000000e+00 0.000000e+00 9.684729e-06
[1516] 0.000000e+00 9.006791e-06 0.000000e+00 1.131927e-05 3.561390e-06
[1521] 1.346611e-06 1.066539e-05 9.078694e-06 1.008374e-05 1.618492e-05
[1526] 3.667811e-06 1.820640e-06 1.315073e-05 3.335104e-06 1.386509e-06
[1531] 0.000000e+00 0.000000e+00 0.000000e+00 8.663905e-06 2.621818e-04
[1536] 3.190539e-05 3.753071e-04 0.000000e+00 6.346675e-05 1.574142e-04
[1541] 1.420098e-05 5.415504e-05 6.547553e-05 1.091830e-04 6.436195e-05
[1546] 1.981958e-05 3.391083e-05 5.670268e-05 1.018226e-04 1.458385e-04
[1551] 8.806128e-05 1.327745e-05 1.317653e-04 4.147015e-06 0.000000e+00
[1556] 0.000000e+00 1.556016e-06 0.000000e+00 0.000000e+00 0.000000e+00
[1561] 9.423889e-07 6.788425e-06 0.000000e+00 7.023903e-06 6.331277e-06
[1566] 1.891864e-06 0.000000e+00 0.000000e+00 3.733300e-06 0.000000e+00
[1571] 0.000000e+00 6.237838e-06 5.411998e-06 2.505543e-06 1.080280e-06
[1576] 0.000000e+00 3.739567e-06 0.000000e+00 4.411859e-09 0.000000e+00
[1581] 1.183030e-05 6.279318e-08 0.000000e+00 3.226706e-06 6.556032e-07
[1586] 2.964958e-08 7.163885e-07 1.410040e-07 4.097082e-06 1.357026e-06
[1591] 6.449696e-07 0.000000e+00 1.296498e-06 0.000000e+00 2.319603e-07
[1596] 0.000000e+00 0.000000e+00 0.000000e+00 3.422150e-06 0.000000e+00
[1601] 1.743932e-06 0.000000e+00 0.000000e+00 0.000000e+00 3.658896e-06
[1606] 0.000000e+00 2.598763e-06 0.000000e+00 2.429793e-05 1.455416e-04
[1611] 1.462037e-04 1.316248e-06
samples_bangkok$density <- nkde_result_bangkok
lixels_bangkok$density <- nkde_result_bangkok

# 重新缩放密度值(从每米事件数量调整为每公里事件数量)
samples_bangkok$density <- samples_bangkok$density * 10000
lixels_bangkok$density <- lixels_bangkok$density * 10000

# 将 nkde_result_pathum_thani 赋值给 sample_pathum_thani 和 lixels_pathum_thani 的 density 列
samples_SamutPrakan$density <- nkde_result_SamutPrakan
lixels_SamutPrakan$density <- nkde_result_SamutPrakan

# 重新缩放密度值(从每米事件数量调整为每公里事件数量)
samples_SamutPrakan$density <- samples_SamutPrakan$density * 10000
lixels_SamutPrakan$density <- lixels_SamutPrakan$density * 10000

8.map:

# 绘制 Bangkok
tm_shape(lixels_bangkok) +
  tm_lines(col = "density", palette = "-RdYlBu", title.col = "Density", lwd = 3, breaks = c(0, 0.1, 0.2, 0.3, 0.4, 0.5)) + 
  tm_shape(acc_in_bangkok) +
  tm_dots(size = 0.1, col = "blue", alpha = 0.5, title = "Accidents")
# 绘制 SamutPrakan
tm_shape(lixels_SamutPrakan) +
  tm_lines(col = "density", palette = "-RdYlBu", title.col = "Density", lwd = 3, breaks = c(0, 0.1, 0.2, 0.3, 0.4, 0.5)) + 
  tm_shape(acc_in_SamutPrakan) +
  tm_dots(size = 0.1, col = "blue", alpha = 0.5, title = "Accidents")
# 切换回 'plot' 模式
tmap_mode('plot')

##Perform K-function analysis

# # Perform K-function analysis
# # Step 1: Check and Ensure CRS Consistency
# # Use UTM Zone 47N (EPSG: 32647) if CRS is missing or inconsistent
# if (is.na(st_crs(acc_in_bangkok))) {
#   acc_in_bangkok <- st_set_crs(acc_in_bangkok, 32647)
# }
# 
# if (is.na(st_crs(roads_in_bangkok))) {
#   roads_in_bangkok <- st_set_crs(roads_in_bangkok, 32647)
# }
# 
# # Ensure both datasets use the same CRS
# acc_in_bangkok <- st_transform(acc_in_bangkok, crs = 32647)
# roads_in_bangkok <- st_transform(roads_in_bangkok, crs = 32647)
# 
# # Step 2: Ensure the Accident Points Have Valid Geometries (POINT type)
# # Convert to POINT geometry if necessary
# if (!all(st_geometry_type(acc_in_bangkok) == "POINT")) {
#   acc_in_bangkok <- st_cast(acc_in_bangkok, "POINT")
# }
# 
# # Step 3: Extract Coordinates for Point Pattern Analysis
# acc_coords <- st_coordinates(acc_in_bangkok)
# 
# # Step 4: Create a Window for Point Pattern Analysis
# # Create a window using the bounding box of the road network
# roads_bbox <- st_bbox(roads_in_bangkok)
# 
# # Convert the bounding box to a 'window' object for spatstat
# win <- owin(
#   xrange = c(roads_bbox["xmin"], roads_bbox["xmax"]),
#   yrange = c(roads_bbox["ymin"], roads_bbox["ymax"])
# )
# 
# # Step 5: Convert Accident Coordinates to 'ppp' Object
# # Convert accident coordinates to a point pattern 'ppp' object
# acc_in_bangkok_ppp <- as.ppp(acc_coords, W = win)
# 
# # Step 6: Perform K-function Analysis on the Road Network
# k_result <- kfunctions(
#   roads_in_bangkok,        # Road network (sf object)
#   acc_in_bangkok_ppp,      # Point pattern of accidents (ppp object)
#   start = 0,               # Start of analysis (distance)
#   end = 1000,              # End of analysis (distance)
#   width = 50,              # Bandwidth
#   step = 50,               # Step size
#   nsim = 50,               # Number of simulations for confidence intervals
#   resolution = 50,         # Spatial resolution
#   verbose = FALSE,         # Suppress verbose output
#   conf_int = 0.05          # Confidence interval for simulations
# )
# 
# # Step 7: Plot the K-function Result
# plot(k_result)

Spatio-temporal analysis

Step 1: Accident Temporal Patterns Aggregate Accident Data by Time: Extract temporal information from the accident data, such as hour of the day, day of the week, or month. This will help you see if accidents tend to happen during certain times of the day or specific months. Visualize Temporal Patterns: Use time series plots or heatmaps to visualize how accident frequencies change over time. You can also look for seasonality or trends (e.g., higher accident rates during specific months or on weekends).

# Extract the hour, day, and month from the accident timestamps
bmr_acc$hour <- lubridate::hour(bmr_acc$incident_datetime)
bmr_acc$day <- lubridate::wday(bmr_acc$incident_datetime, label = TRUE)
bmr_acc$month <- lubridate::month(bmr_acc$incident_datetime, label = TRUE)

# Plot accident frequencies by hour of the day
ggplot(bmr_acc, aes(x = hour)) +
  geom_histogram(binwidth = 1, fill = "steelblue", color = "black") +
  labs(title = "Accidents by Hour of the Day", x = "Hour", y = "Accident Count")

# Plot accident frequencies by day of the week
ggplot(bmr_acc, aes(x = day)) +
  geom_bar(fill = "darkorange", color = "black") +
  labs(title = "Accidents by Day of the Week", x = "Day", y = "Accident Count")

# Plot accident frequencies by month
ggplot(bmr_acc, aes(x = month)) +
  geom_bar(fill = "darkgreen", color = "black") +
  labs(title = "Accidents by Month", x = "Month", y = "Accident Count")

Step 2: Accident Hotspot Analysis Over Time Group Accidents by Time Intervals: split the accident data into different time intervals (e.g., hourly, daily, or monthly), and then analyze whether certain hours or months are more prone toaccidents. Overlay Spatial Data with Time: Overlay the accident data on the road network for different time periods to visualize whether spatial hotspots change at certain times of day, such as during rush hours.

# Group accidents by time intervals (hourly, daily, etc.)
hourly_acc <- bmr_acc %>%
  group_by(hour) %>%
  summarize(accident_count = n())

# Overlay time-based accident data with road data (for a specific time window)
rush_hour_acc <- bmr_acc %>% filter(hour >= 7 & hour <= 9)  # Example: Rush hour 7-9 AM

# Use tmap to create spatial visualizations for rush hour accidents
tmap_mode('plot')
tm_shape(bmr_roads) +
  tm_lines(col = "gray", lwd = 1) +
  tm_shape(rush_hour_acc) +
  tm_dots(size = 0.1, col = "red", alpha = 0.7) +
  tm_layout(title = "Accidents during Rush Hour (7-9 AM)")

Step 3: Spatio-Temporal Hotspot Detection Use Kernel Density Estimation (KDE) for Different Time Periods:

Calculate KDE for accident density, but now do it separately for different time periods (e.g., day vs. night, weekdays vs. weekends). This allows us to see how the spatial distribution of accidents changes over time. Network-based KDE by Time Intervals: ’’’’’’’

# Set target CRS as UTM Zone 47N (EPSG: 32647)
target_crs <- 32647

# Transform the roads to UTM (projected coordinate system)
bmr_roads_projected <- st_transform(bmr_roads, crs = target_crs)

# Ensure simple geometries (convert MULTILINESTRING to LINESTRING if necessary)
bmr_roads_simple <- st_cast(bmr_roads_projected, "LINESTRING")

# Transform accident data to UTM as well
rush_hour_acc_projected <- st_transform(rush_hour_acc, crs = target_crs)

# Convert time to hour (0-23)
bmr_acc$hour <- as.integer(format(bmr_acc$incident_datetime, "%H"))

# Convert date to day of the week (1 = Monday, 7 = Sunday)
bmr_acc$weekday <- as.integer(format(bmr_acc$incident_datetime, "%u"))

# Define daytime and nighttime accidents (e.g., daytime: 6 AM to 6 PM)
daytime_acc <- bmr_acc %>% filter(hour >= 6 & hour < 18)
nighttime_acc <- bmr_acc %>% filter(hour < 6 | hour >= 18)

# Define weekday and weekend accidents (e.g., weekdays: Monday to Friday)
weekday_acc <- bmr_acc %>% filter(weekday >= 1 & weekday <= 5)
weekend_acc <- bmr_acc %>% filter(weekday == 6 | weekday == 7)

# Ensure your roads and accidents are in the projected CRS (UTM)
daytime_acc_projected <- st_transform(daytime_acc, crs = target_crs)
nighttime_acc_projected <- st_transform(nighttime_acc, crs = target_crs)
weekday_acc_projected <- st_transform(weekday_acc, crs = target_crs)
weekend_acc_projected <- st_transform(weekend_acc, crs = target_crs)
# Perform KDE for daytime
daytime_density <- nkde(
  bmr_roads_simple, 
  daytime_acc_projected,
  w = rep(1, nrow(daytime_acc_projected)),
  samples = daytime_acc_projected, 
  kernel_name = "quartic", 
  bw = 500, 
  method = "simple"
)
[1] "checking inputs ..."
[1] "prior data preparation ..."
[1] "Splitting the data with the spatial grid ..."
[1] "start calculating the kernel values ..."
[1] "    quadra 1/1"
[1] "    build graph ..."
[1] "        calculating NKDE values ..."

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  |======================================================================| 100%[1] "combining the results ..."
# Perform KDE for nighttime
nighttime_density <- nkde(
  bmr_roads_simple, 
  nighttime_acc_projected,
  w = rep(1, nrow(nighttime_acc_projected)),
  samples = nighttime_acc_projected, 
  kernel_name = "quartic", 
  bw = 500, 
  method = "simple"
)
[1] "checking inputs ..."
[1] "prior data preparation ..."
[1] "Splitting the data with the spatial grid ..."
[1] "start calculating the kernel values ..."
[1] "    quadra 1/1"
[1] "    build graph ..."
[1] "        calculating NKDE values ..."

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  |======================================================================| 100%[1] "combining the results ..."
# Perform KDE for weekdays
weekday_density <- nkde(
  bmr_roads_simple, 
  weekday_acc_projected,
  w = rep(1, nrow(weekday_acc_projected)),
  samples = weekday_acc_projected, 
  kernel_name = "quartic", 
  bw = 500, 
  method = "simple"
)
[1] "checking inputs ..."
[1] "prior data preparation ..."
[1] "Splitting the data with the spatial grid ..."
[1] "start calculating the kernel values ..."
[1] "    quadra 1/1"
[1] "    build graph ..."
[1] "        calculating NKDE values ..."

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  |======================================================================| 100%[1] "combining the results ..."
# Perform KDE for weekends
weekend_density <- nkde(
  bmr_roads_simple, 
  weekend_acc_projected,
  w = rep(1, nrow(weekend_acc_projected)),
  samples = weekend_acc_projected, 
  kernel_name = "quartic", 
  bw = 500, 
  method = "simple"
)
[1] "checking inputs ..."
[1] "prior data preparation ..."
[1] "Splitting the data with the spatial grid ..."
[1] "start calculating the kernel values ..."
[1] "    quadra 1/1"
[1] "    build graph ..."
[1] "        calculating NKDE values ..."

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  |======================================================================| 100%[1] "combining the results ..."
# Check if number of rows in density results matches the road geometries
if (length(daytime_density) != nrow(bmr_roads_simple)) {
  # Option 1: Pad the density with NA or 0 for roads without accidents
  daytime_density <- c(daytime_density, rep(NA, nrow(bmr_roads_simple) - length(daytime_density)))
}

# Repeat the same for nighttime, weekday, and weekend densities
if (length(nighttime_density) != nrow(bmr_roads_simple)) {
  nighttime_density <- c(nighttime_density, rep(NA, nrow(bmr_roads_simple) - length(nighttime_density)))
}

if (length(weekday_density) != nrow(bmr_roads_simple)) {
  weekday_density <- c(weekday_density, rep(NA, nrow(bmr_roads_simple) - length(weekday_density)))
}

if (length(weekend_density) != nrow(bmr_roads_simple)) {
  weekend_density <- c(weekend_density, rep(NA, nrow(bmr_roads_simple) - length(weekend_density)))
}

# Convert KDE results to sf objects
daytime_density_sf <- st_as_sf(data.frame(geometry = st_geometry(bmr_roads_simple), density = daytime_density))
nighttime_density_sf <- st_as_sf(data.frame(geometry = st_geometry(bmr_roads_simple), density = nighttime_density))
weekday_density_sf <- st_as_sf(data.frame(geometry = st_geometry(bmr_roads_simple), density = weekday_density))
weekend_density_sf <- st_as_sf(data.frame(geometry = st_geometry(bmr_roads_simple), density = weekend_density))

# Visualize KDE for daytime accidents
tm_shape(bmr_roads_simple) +
  tm_lines(col = "gray") +
  tm_shape(daytime_density_sf) +
  tm_lines(col = "density", palette = "Reds", lwd = 2, title.col = "Daytime Density") +
  tm_layout(title = "Accident Density during Daytime")

# Visualize KDE for nighttime accidents
tm_shape(bmr_roads_simple) +
  tm_lines(col = "gray") +
  tm_shape(nighttime_density_sf) +
  tm_lines(col = "density", palette = "Blues", lwd = 2, title.col = "Nighttime Density") +
  tm_layout(title = "Accident Density during Nighttime")

# Visualize KDE for weekday accidents
tm_shape(bmr_roads_simple) +
  tm_lines(col = "gray") +
  tm_shape(weekday_density_sf) +
  tm_lines(col = "density", palette = "Greens", lwd = 2, title.col = "Weekda Density") +
  tm_layout(title = "Accident Density during Weekdays")

# Visualize KDE for weekend accidents
tm_shape(bmr_roads_simple) +
  tm_lines(col = "gray") +
  tm_shape(weekend_density_sf) +
  tm_lines(col = "density", palette = "Purples", lwd = 2, title.col = "Weekend Density") +
  tm_layout(title = "Accident Density during Weekends")

# Switch back to plot mode
tmap_mode("plot")